Question

Ill give a medal (:
What is the solution of the equation 3^x =12?

Answer 1

take log in both sides

Answer 2

I dontnw how to do thatok

Answer 3

Sorry my keyboard is messing up

Answer 4

do u know logarithms ?

Answer 5

!no

Answer 6

there is property of logarithms that...\[\log_{10}a ^{b}=b \log_{10}a \]
if you take log in your equation...
\[\log_{10}3^{x}=\log_{10}12 \]
now use that property..

Answer 7

Wait i dont understand what i would do after that

Answer 8

The answer is x=\[\frac{ \log_{12} }{\log_{3} ? }\]

Answer 9

$$\large {
3^x =12\\
log_3(3^x) = log_3(12)\\
\text{using the log cancellation rule of}\\
\color{blue}{log_aa^x = x}\\
x = log_3(12)
}
$$

Answer 10

Ohh a o(: uy knah tdnatsrednuiykohh

Answer 11

and you can use the "change of base rule" to get the actual value using \(log_{10}\) only
$$ large {
log_3(12)\\
\text{using log change of base rule}\\
log_3(12) \implies \cfrac{log_{10}12}{log_{10}3}
}
$$

Answer 12

woops, darnheh

Answer 13

$$
\large {
log_3(12)\\
\text{using log change of base rule}\\
log_3(12) \implies \cfrac{log_{10}12}{log_{10}3}
}
$$

Answer 14

Oops im sorrym oard is messing up on my ipad